The function `f(x)=sin^4x +cos ^4 x increases` if

The function f(x)=sin^(4)x+cos^(4)x increasing if

The function f(x) = sin ^(4)x+ cos ^(4)x increases, if (A) 0 lt x lt (pi)/(8) (B) (pi)/(4) lt x lt (3pi)/(8) (C) ( 3pi)/(8) lt x lt (5pi)/(8) (D) ( 5pi)/(8) lt x lt(3pi)/(4)

If f(x) =sin^(4)x+cos^(4)x increases, if

The function f(x) = sin x + cos x will be

Show that the function f(x)=sin^(4) x+ cos^(4) x (i) is decreasing in the interval [0,pi/4] . (ii) is increasing in the interval [pi/4,pi/2] .

Find the interval in which the function f(x)=sin(log x)-cos(log x) increase

The period of the function f(x)=sin^(4)3x+cos^(4)3x , is